Answer:
In sigma notation, the series may be represented as,

It is an arithmetic progression with
1st term = -5
common difference = 4
no, of terms = 5
Step-by-step explanation:
The finite series is given by,
-5 + (-1) + 3 + 7 + 11
In sigma notation, the series may be represented as,

It is an arithmetic progression with
1st term = -5
common difference = 4
no, of terms = 5
Peter has 12 rocks and Phil has 36 rocks.
Let's say Peter is x.
Phil would be 3x since he has 3 times as many rocks.
3x + x = 48
4x = 48
x = 12
12*3=36
Answer:
The 90% confidence interval for the proportion of all US teens who have made a new friend online is (0.55, 0.60).
Step-by-step explanation:
The complete question is:
A survey of 1060 randomly selected US teens ages 13-17 found that 605 of them say they have made a new friend online. Find and interpret a 90% confidence interval for the proportion, p, of all US teens who have made a new friend online.
Solution:
In a sample of 1060 randomly selected US teens ages 13 to 17, 605 said they have made a new friend online.
Compute the sample proportion of US teens ages 13 to 17 who said they have made a new friend online as follows:

The (1 - α)% confidence interval for population proportion is:

The critical value of <em>z</em> for 90% confidence interval is:

*use a z-table.
Compute the 90% confidence interval for the proportion of all US teens who have made a new friend online as follows:


Thus, the 90% confidence interval for the proportion of all US teens who have made a new friend online is (0.55, 0.60).
Answer:
If you're asking for the equation:
y= -3x + 9
Step-by-step explanation:
y = mx + b
(plug in the slope)
y = -3x + b
(plug in the point)
-3 = -3(4) + b
-3 = -12 + b
9 = b
(plug back into the original equation)
y = -3x + 9
triangle, cross sections are 2D and since perpendicular means "at a 90° angle" to something it and since its perpendicular to the base then it could only be a triangle